TSTP Solution File: SEU364+1 by Etableau---0.67
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- Process Solution
%------------------------------------------------------------------------------
% File : Etableau---0.67
% Problem : SEU364+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 09:26:13 EDT 2022
% Result : Theorem 2.60s 0.74s
% Output : CNFRefutation 2.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SEU364+1 : TPTP v8.1.0. Released v3.3.0.
% 0.15/0.15 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s
% 0.15/0.37 % Computer : n012.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Sun Jun 19 03:19:38 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.15/0.42 # No SInE strategy applied
% 0.15/0.42 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.42 # and selection function SelectComplexExceptUniqMaxHorn.
% 0.15/0.42 #
% 0.15/0.42 # Presaturation interreduction done
% 0.15/0.42 # Number of axioms: 113 Number of unprocessed: 113
% 0.15/0.42 # Tableaux proof search.
% 0.15/0.42 # APR header successfully linked.
% 0.15/0.42 # Hello from C++
% 0.15/0.42 # The folding up rule is enabled...
% 0.15/0.42 # Local unification is enabled...
% 0.15/0.42 # Any saturation attempts will use folding labels...
% 0.15/0.42 # 113 beginning clauses after preprocessing and clausification
% 0.15/0.42 # Creating start rules for all 12 conjectures.
% 0.15/0.42 # There are 12 start rule candidates:
% 0.15/0.42 # Found 15 unit axioms.
% 0.15/0.42 # Unsuccessfully attempted saturation on 1 start tableaux, moving on.
% 0.15/0.42 # 12 start rule tableaux created.
% 0.15/0.42 # 98 extension rule candidate clauses
% 0.15/0.42 # 15 unit axiom clauses
% 0.15/0.42
% 0.15/0.42 # Requested 8, 32 cores available to the main process.
% 2.60/0.74 # There were 2 total branch saturation attempts.
% 2.60/0.74 # There were 0 of these attempts blocked.
% 2.60/0.74 # There were 0 deferred branch saturation attempts.
% 2.60/0.74 # There were 0 free duplicated saturations.
% 2.60/0.74 # There were 2 total successful branch saturations.
% 2.60/0.74 # There were 0 successful branch saturations in interreduction.
% 2.60/0.74 # There were 0 successful branch saturations on the branch.
% 2.60/0.74 # There were 2 successful branch saturations after the branch.
% 2.60/0.74 # SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.60/0.74 # SZS output start for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.60/0.74 # Begin clausification derivation
% 2.60/0.74
% 2.60/0.74 # End clausification derivation
% 2.60/0.74 # Begin listing active clauses obtained from FOF to CNF conversion
% 2.60/0.74 cnf(i_0_11, negated_conjecture, (transitive_relstr(esk1_0))).
% 2.60/0.74 cnf(i_0_10, negated_conjecture, (rel_str(esk1_0))).
% 2.60/0.74 cnf(i_0_8, negated_conjecture, (finite(esk3_0))).
% 2.60/0.74 cnf(i_0_7, negated_conjecture, (element(esk3_0,powerset(esk2_0)))).
% 2.60/0.74 cnf(i_0_19, plain, (finite(esk9_0))).
% 2.60/0.74 cnf(i_0_15, plain, (one_sorted_str(esk7_0))).
% 2.60/0.74 cnf(i_0_32, plain, (empty(esk14_0))).
% 2.60/0.74 cnf(i_0_9, negated_conjecture, (element(esk2_0,powerset(the_carrier(esk1_0))))).
% 2.60/0.74 cnf(i_0_30, plain, (empty(esk13_1(X1)))).
% 2.60/0.74 cnf(i_0_31, plain, (element(esk13_1(X1),powerset(X1)))).
% 2.60/0.74 cnf(i_0_12, negated_conjecture, (~empty_carrier(esk1_0))).
% 2.60/0.74 cnf(i_0_14, plain, (~empty_carrier(esk7_0))).
% 2.60/0.74 cnf(i_0_20, plain, (~empty(esk9_0))).
% 2.60/0.74 cnf(i_0_33, plain, (~empty(esk15_0))).
% 2.60/0.74 cnf(i_0_40, plain, (~empty(powerset(X1)))).
% 2.60/0.74 cnf(i_0_21, plain, (finite(X1)|~empty(X1))).
% 2.60/0.74 cnf(i_0_36, plain, (one_sorted_str(X1)|~rel_str(X1))).
% 2.60/0.74 cnf(i_0_34, plain, (~in(X1,X2)|~in(X2,X1))).
% 2.60/0.74 cnf(i_0_23, plain, (empty(X1)|~empty(esk10_1(X1)))).
% 2.60/0.74 cnf(i_0_26, plain, (empty(X1)|~empty(esk11_1(X1)))).
% 2.60/0.74 cnf(i_0_28, plain, (empty(X1)|~empty(esk12_1(X1)))).
% 2.60/0.74 cnf(i_0_16, plain, (empty_carrier(X1)|~empty(the_carrier(X1))|~one_sorted_str(X1))).
% 2.60/0.74 cnf(i_0_22, plain, (empty(X1)|finite(esk10_1(X1)))).
% 2.60/0.74 cnf(i_0_39, plain, (finite(X1)|~finite(X2)|~element(X1,powerset(X2)))).
% 2.60/0.74 cnf(i_0_25, plain, (empty(X1)|finite(esk11_1(X1)))).
% 2.60/0.74 cnf(i_0_2, negated_conjecture, (in(esk6_1(X1),esk2_0)|in(esk4_1(X1),X1))).
% 2.60/0.74 cnf(i_0_3, negated_conjecture, (in(esk4_1(X1),X1)|element(esk6_1(X1),the_carrier(esk1_0)))).
% 2.60/0.74 cnf(i_0_17, plain, (empty_carrier(X1)|~empty(esk8_1(X1))|~one_sorted_str(X1))).
% 2.60/0.74 cnf(i_0_4, negated_conjecture, (esk5_1(X1)=esk4_1(X1)|in(esk4_1(X1),X1))).
% 2.60/0.74 cnf(i_0_24, plain, (empty(X1)|element(esk10_1(X1),powerset(X1)))).
% 2.60/0.74 cnf(i_0_27, plain, (empty(X1)|element(esk11_1(X1),powerset(X1)))).
% 2.60/0.74 cnf(i_0_29, plain, (empty(X1)|element(esk12_1(X1),powerset(X1)))).
% 2.60/0.74 cnf(i_0_18, plain, (element(esk8_1(X1),powerset(the_carrier(X1)))|empty_carrier(X1)|~one_sorted_str(X1))).
% 2.60/0.74 cnf(i_0_1, negated_conjecture, (relstr_set_smaller(esk1_0,esk5_1(X1),esk6_1(X1))|in(esk4_1(X1),X1))).
% 2.60/0.74 cnf(i_0_5, negated_conjecture, (in(esk4_1(X1),powerset(esk3_0))|in(esk4_1(X1),X1))).
% 2.60/0.74 cnf(i_0_6, negated_conjecture, (~relstr_set_smaller(esk1_0,esk4_1(X1),X2)|~in(esk4_1(X1),powerset(esk3_0))|~in(esk4_1(X1),X1)|~in(X2,esk2_0)|~element(X2,the_carrier(esk1_0)))).
% 2.60/0.74 cnf(i_0_43, plain, (in(esk26_4(X1,X2,X3,X4),X2)|empty_carrier(X1)|esk18_3(X1,X2,X3)!=esk17_3(X1,X2,X3)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_113, plain, (esk16_3(X1,X2,X3)=esk17_3(X1,X2,X3)|in(esk26_4(X1,X2,X3,X4),X2)|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_46, plain, (esk24_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|esk18_3(X1,X2,X3)!=esk17_3(X1,X2,X3)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_45, plain, (esk25_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|esk18_3(X1,X2,X3)!=esk17_3(X1,X2,X3)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_44, plain, (element(esk26_4(X1,X2,X3,X4),the_carrier(X1))|empty_carrier(X1)|esk18_3(X1,X2,X3)!=esk17_3(X1,X2,X3)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_47, plain, (in(esk24_4(X1,X2,X3,X4),powerset(X3))|empty_carrier(X1)|esk18_3(X1,X2,X3)!=esk17_3(X1,X2,X3)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_78, plain, (esk16_3(X1,X2,X3)=esk18_3(X1,X2,X3)|in(esk26_4(X1,X2,X3,X4),X2)|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_106, plain, (esk19_3(X1,X2,X3)=esk17_3(X1,X2,X3)|in(esk26_4(X1,X2,X3,X4),X2)|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_71, plain, (esk21_3(X1,X2,X3)=esk18_3(X1,X2,X3)|in(esk26_4(X1,X2,X3,X4),X2)|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_114, plain, (esk16_3(X1,X2,X3)=esk17_3(X1,X2,X3)|element(esk26_4(X1,X2,X3,X4),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_117, plain, (esk16_3(X1,X2,X3)=esk17_3(X1,X2,X3)|in(esk24_4(X1,X2,X3,X4),powerset(X3))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_111, plain, (esk16_3(X1,X2,X3)=esk17_3(X1,X2,X3)|in(X4,esk23_3(X1,X2,X3))|empty_carrier(X1)|~relstr_set_smaller(X1,X4,X5)|~in(X4,powerset(X3))|~in(X5,X2)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X5,the_carrier(X1))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_95, plain, (esk24_4(X1,X2,X3,X4)=X4|in(esk20_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_60, plain, (esk24_4(X1,X2,X3,X4)=X4|in(esk22_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_94, plain, (esk25_4(X1,X2,X3,X4)=X4|in(esk20_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_59, plain, (esk25_4(X1,X2,X3,X4)=X4|in(esk22_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_116, plain, (esk16_3(X1,X2,X3)=esk17_3(X1,X2,X3)|esk24_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_79, plain, (esk16_3(X1,X2,X3)=esk18_3(X1,X2,X3)|element(esk26_4(X1,X2,X3,X4),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_82, plain, (esk16_3(X1,X2,X3)=esk18_3(X1,X2,X3)|in(esk24_4(X1,X2,X3,X4),powerset(X3))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_107, plain, (esk19_3(X1,X2,X3)=esk17_3(X1,X2,X3)|element(esk26_4(X1,X2,X3,X4),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_110, plain, (esk19_3(X1,X2,X3)=esk17_3(X1,X2,X3)|in(esk24_4(X1,X2,X3,X4),powerset(X3))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_72, plain, (esk21_3(X1,X2,X3)=esk18_3(X1,X2,X3)|element(esk26_4(X1,X2,X3,X4),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_75, plain, (esk21_3(X1,X2,X3)=esk18_3(X1,X2,X3)|in(esk24_4(X1,X2,X3,X4),powerset(X3))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_81, plain, (esk16_3(X1,X2,X3)=esk18_3(X1,X2,X3)|esk24_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_109, plain, (esk19_3(X1,X2,X3)=esk17_3(X1,X2,X3)|esk24_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_74, plain, (esk21_3(X1,X2,X3)=esk18_3(X1,X2,X3)|esk24_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_115, plain, (esk16_3(X1,X2,X3)=esk17_3(X1,X2,X3)|esk25_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_102, plain, (esk24_4(X1,X2,X3,X4)=X4|element(esk20_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_67, plain, (esk24_4(X1,X2,X3,X4)=X4|element(esk22_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_101, plain, (esk25_4(X1,X2,X3,X4)=X4|element(esk20_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_66, plain, (esk25_4(X1,X2,X3,X4)=X4|element(esk22_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_92, plain, (in(esk26_4(X1,X2,X3,X4),X2)|in(esk20_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_76, plain, (esk16_3(X1,X2,X3)=esk18_3(X1,X2,X3)|in(X4,esk23_3(X1,X2,X3))|empty_carrier(X1)|~relstr_set_smaller(X1,X4,X5)|~in(X4,powerset(X3))|~in(X5,X2)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X5,the_carrier(X1))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_80, plain, (esk16_3(X1,X2,X3)=esk18_3(X1,X2,X3)|esk25_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_108, plain, (esk19_3(X1,X2,X3)=esk17_3(X1,X2,X3)|esk25_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_73, plain, (esk21_3(X1,X2,X3)=esk18_3(X1,X2,X3)|esk25_4(X1,X2,X3,X4)=X4|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_57, plain, (in(esk26_4(X1,X2,X3,X4),X2)|in(esk22_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_42, plain, (relstr_set_smaller(X1,esk25_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4))|empty_carrier(X1)|esk18_3(X1,X2,X3)!=esk17_3(X1,X2,X3)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_93, plain, (in(esk20_3(X1,X2,X3),X2)|element(esk26_4(X1,X2,X3,X4),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_96, plain, (in(esk24_4(X1,X2,X3,X4),powerset(X3))|in(esk20_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_58, plain, (in(esk22_3(X1,X2,X3),X2)|element(esk26_4(X1,X2,X3,X4),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_61, plain, (in(esk24_4(X1,X2,X3,X4),powerset(X3))|in(esk22_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_99, plain, (in(esk26_4(X1,X2,X3,X4),X2)|element(esk20_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_64, plain, (in(esk26_4(X1,X2,X3,X4),X2)|element(esk22_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_100, plain, (element(esk26_4(X1,X2,X3,X4),the_carrier(X1))|element(esk20_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_103, plain, (in(esk24_4(X1,X2,X3,X4),powerset(X3))|element(esk20_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_65, plain, (element(esk26_4(X1,X2,X3,X4),the_carrier(X1))|element(esk22_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_68, plain, (in(esk24_4(X1,X2,X3,X4),powerset(X3))|element(esk22_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_88, plain, (esk24_4(X1,X2,X3,X4)=X4|relstr_set_smaller(X1,esk19_3(X1,X2,X3),esk20_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_91, plain, (relstr_set_smaller(X1,esk25_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4))|in(esk20_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_56, plain, (relstr_set_smaller(X1,esk25_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4))|in(esk22_3(X1,X2,X3),X2)|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_98, plain, (relstr_set_smaller(X1,esk25_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4))|element(esk20_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_63, plain, (relstr_set_smaller(X1,esk25_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4))|element(esk22_3(X1,X2,X3),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_104, plain, (esk19_3(X1,X2,X3)=esk17_3(X1,X2,X3)|in(X4,esk23_3(X1,X2,X3))|empty_carrier(X1)|~relstr_set_smaller(X1,X4,X5)|~in(X4,powerset(X3))|~in(X5,X2)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X5,the_carrier(X1))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_53, plain, (esk24_4(X1,X2,X3,X4)=X4|relstr_set_smaller(X1,esk21_3(X1,X2,X3),esk22_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_87, plain, (esk25_4(X1,X2,X3,X4)=X4|relstr_set_smaller(X1,esk19_3(X1,X2,X3),esk20_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_52, plain, (esk25_4(X1,X2,X3,X4)=X4|relstr_set_smaller(X1,esk21_3(X1,X2,X3),esk22_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_112, plain, (esk16_3(X1,X2,X3)=esk17_3(X1,X2,X3)|relstr_set_smaller(X1,esk25_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_77, plain, (esk16_3(X1,X2,X3)=esk18_3(X1,X2,X3)|relstr_set_smaller(X1,esk25_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_105, plain, (esk19_3(X1,X2,X3)=esk17_3(X1,X2,X3)|relstr_set_smaller(X1,esk25_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_85, plain, (relstr_set_smaller(X1,esk19_3(X1,X2,X3),esk20_3(X1,X2,X3))|in(esk26_4(X1,X2,X3,X4),X2)|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_50, plain, (relstr_set_smaller(X1,esk21_3(X1,X2,X3),esk22_3(X1,X2,X3))|in(esk26_4(X1,X2,X3,X4),X2)|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_86, plain, (relstr_set_smaller(X1,esk19_3(X1,X2,X3),esk20_3(X1,X2,X3))|element(esk26_4(X1,X2,X3,X4),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_51, plain, (relstr_set_smaller(X1,esk21_3(X1,X2,X3),esk22_3(X1,X2,X3))|element(esk26_4(X1,X2,X3,X4),the_carrier(X1))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_70, plain, (esk21_3(X1,X2,X3)=esk18_3(X1,X2,X3)|relstr_set_smaller(X1,esk25_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_41, plain, (in(X1,esk23_3(X2,X3,X4))|empty_carrier(X2)|esk18_3(X2,X3,X4)!=esk17_3(X2,X3,X4)|~relstr_set_smaller(X2,X1,X5)|~in(X1,powerset(X4))|~in(X5,X3)|~finite(X4)|~element(X3,powerset(the_carrier(X2)))|~element(X5,the_carrier(X2))|~element(X4,powerset(X3))|~rel_str(X2)|~transitive_relstr(X2))).
% 2.60/0.74 cnf(i_0_69, plain, (esk21_3(X1,X2,X3)=esk18_3(X1,X2,X3)|in(X4,esk23_3(X1,X2,X3))|empty_carrier(X1)|~relstr_set_smaller(X1,X4,X5)|~in(X4,powerset(X3))|~in(X5,X2)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X5,the_carrier(X1))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_89, plain, (relstr_set_smaller(X1,esk19_3(X1,X2,X3),esk20_3(X1,X2,X3))|in(esk24_4(X1,X2,X3,X4),powerset(X3))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_54, plain, (relstr_set_smaller(X1,esk21_3(X1,X2,X3),esk22_3(X1,X2,X3))|in(esk24_4(X1,X2,X3,X4),powerset(X3))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_90, plain, (in(X1,esk23_3(X2,X3,X4))|in(esk20_3(X2,X3,X4),X3)|empty_carrier(X2)|~relstr_set_smaller(X2,X1,X5)|~in(X1,powerset(X4))|~in(X5,X3)|~finite(X4)|~element(X3,powerset(the_carrier(X2)))|~element(X5,the_carrier(X2))|~element(X4,powerset(X3))|~rel_str(X2)|~transitive_relstr(X2))).
% 2.60/0.74 cnf(i_0_55, plain, (in(X1,esk23_3(X2,X3,X4))|in(esk22_3(X2,X3,X4),X3)|empty_carrier(X2)|~relstr_set_smaller(X2,X1,X5)|~in(X1,powerset(X4))|~in(X5,X3)|~finite(X4)|~element(X3,powerset(the_carrier(X2)))|~element(X5,the_carrier(X2))|~element(X4,powerset(X3))|~rel_str(X2)|~transitive_relstr(X2))).
% 2.60/0.74 cnf(i_0_97, plain, (in(X1,esk23_3(X2,X3,X4))|element(esk20_3(X2,X3,X4),the_carrier(X2))|empty_carrier(X2)|~relstr_set_smaller(X2,X1,X5)|~in(X1,powerset(X4))|~in(X5,X3)|~finite(X4)|~element(X3,powerset(the_carrier(X2)))|~element(X5,the_carrier(X2))|~element(X4,powerset(X3))|~rel_str(X2)|~transitive_relstr(X2))).
% 2.60/0.74 cnf(i_0_62, plain, (in(X1,esk23_3(X2,X3,X4))|element(esk22_3(X2,X3,X4),the_carrier(X2))|empty_carrier(X2)|~relstr_set_smaller(X2,X1,X5)|~in(X1,powerset(X4))|~in(X5,X3)|~finite(X4)|~element(X3,powerset(the_carrier(X2)))|~element(X5,the_carrier(X2))|~element(X4,powerset(X3))|~rel_str(X2)|~transitive_relstr(X2))).
% 2.60/0.74 cnf(i_0_84, plain, (relstr_set_smaller(X1,esk25_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4))|relstr_set_smaller(X1,esk19_3(X1,X2,X3),esk20_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_49, plain, (relstr_set_smaller(X1,esk25_4(X1,X2,X3,X4),esk26_4(X1,X2,X3,X4))|relstr_set_smaller(X1,esk21_3(X1,X2,X3),esk22_3(X1,X2,X3))|empty_carrier(X1)|~in(X4,esk23_3(X1,X2,X3))|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_83, plain, (relstr_set_smaller(X1,esk19_3(X1,X2,X3),esk20_3(X1,X2,X3))|in(X4,esk23_3(X1,X2,X3))|empty_carrier(X1)|~relstr_set_smaller(X1,X4,X5)|~in(X4,powerset(X3))|~in(X5,X2)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X5,the_carrier(X1))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 cnf(i_0_48, plain, (relstr_set_smaller(X1,esk21_3(X1,X2,X3),esk22_3(X1,X2,X3))|in(X4,esk23_3(X1,X2,X3))|empty_carrier(X1)|~relstr_set_smaller(X1,X4,X5)|~in(X4,powerset(X3))|~in(X5,X2)|~finite(X3)|~element(X2,powerset(the_carrier(X1)))|~element(X5,the_carrier(X1))|~element(X3,powerset(X2))|~rel_str(X1)|~transitive_relstr(X1))).
% 2.60/0.74 # End listing active clauses. There is an equivalent clause to each of these in the clausification!
% 2.60/0.74 # Begin printing tableau
% 2.60/0.74 # Found 5 steps
% 2.60/0.74 cnf(i_0_12, negated_conjecture, (~empty_carrier(esk1_0)), inference(start_rule)).
% 2.60/0.74 cnf(i_0_156, plain, (~empty_carrier(esk1_0)), inference(extension_rule, [i_0_16])).
% 2.60/0.74 cnf(i_0_175, plain, (~empty(the_carrier(esk1_0))), inference(extension_rule, [i_0_23])).
% 2.60/0.74 cnf(i_0_176, plain, (~one_sorted_str(esk1_0)), inference(etableau_closure_rule, [i_0_176, ...])).
% 2.60/0.74 cnf(i_0_184, plain, (~empty(esk10_1(the_carrier(esk1_0)))), inference(etableau_closure_rule, [i_0_184, ...])).
% 2.60/0.74 # End printing tableau
% 2.60/0.74 # SZS output end
% 2.60/0.74 # Branches closed with saturation will be marked with an "s"
% 2.60/0.74 # Child (6328) has found a proof.
% 2.60/0.74
% 2.60/0.74 # Proof search is over...
% 2.60/0.74 # Freeing feature tree
%------------------------------------------------------------------------------